Solve the Problem $\mathrm { r }$ Of a Projectile Is Given By

question 470

Multiple Choice

Solve the problem.
-The range $\mathrm { r }$ of a projectile is given by
$$\mathrm { r } = \frac { 1 } { 32 } \mathrm { v } ^ { 2 } \sin 2 \theta \text {, }$$
where $\mathrm { v }$ is the initial velocity and $\theta$ is the angle of elevation. If $\mathrm { r }$ is to be $8000 \mathrm { ft }$ and $\mathrm { v } = 3000 \mathrm { ft } / \mathrm { sec }$ , what must the angle of elevation be? Give your answer in degrees to the nearest hundredth.

• A) \(1.14 ^ { \circ }\)
• B) \(1.63 ^ { \circ }\)
• C) \(89.19 ^ { \circ }\)
• D) \(0.81 ^ { \circ }\)

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Definitions:

Avoidance

A defensive mechanism where an individual steers clear of certain thoughts, feelings, or interactions due to perceived negative outcomes.

Centration

A term from Piaget's theory of cognitive development, describing the tendency to focus on one aspect of a situation while neglecting others.

Decentering

The cognitive ability to consider multiple aspects of a situation rather than focusing on a single perspective.

Conservation

The act of preserving, protecting, or restoring natural environments and their wildlife.